Question

6. Calculate the following line integrals of vector fields. Be sure to name any theorems you use; if you don't use a theorem, write "calculated directly2 (d) F . dr, where F(x,y)-(2ry-уг, r2 +3y2-2cy), and C is the piecewise-linear path frorn (1,3) to (5,2 to (12) to (4,1) (e) φ F.dr, where F(z,y)-(3ysin(Zy), 3rsin(2y)+6ry cos(2p)), and C is the ellipse 2 +9y2-64. oriented counter-clockwise

Answer 1

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